The prototypical multilinear operation is multiplication. Indeed, every multilinear mapping can be factored through a tensor product. Apart from its intrinsic interest, the tensor product is of fundamental importance in a variety of disciplines, ranging from matrix inequalities and group representation theory, to the combinatorics of symmetric func

1. Partitions 2. Inner Product Spaces 3. Permutation Groups 4. Tensor Spaces 5. Symmetry Classes of Tensors 6. Generalized Matrix Functions 7. Group Representation Theory 8. The Rational Representations of GL(n,C)